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Generalized Structure Tensor is an extension of the Cartesian [[Structure Tensor]] to [[Curvilinear Coordinates]]. It finds the direction along which an image can undergo a translation with minimal error, measured in L^2 norm (or in [[total least squares]] sense), wherein the translation is along the curvilinear coordinates (instead of Cartesian).
Among the curvilinear coordinates, locally orthogonal coordinates, are best studied.
<ref name=
J. Bigun and G. Granlund (1986), ''Optimal Orientation Detection of Linear Symmetry''. Tech. Report LiTH-ISY-I-0828, Computer Vision Laboratory, Linkoping University, Sweden 1986; Thesis Report, Linkoping studies in science and technology No. 85, 1986.
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